96714417600 has 252 divisors, whose sum is σ = 344846522904. Its totient is φ = 25707939840.

The previous prime is 96714417589. The next prime is 96714417691. The reversal of 96714417600 is 671441769.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4554207 + ... + 4575393.

Almost surely, 2^96714417600 is an apocalyptic number.

96714417600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96714417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172423261452).

96714417600 is an abundant number, since it is smaller than the sum of its proper divisors (248132105304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96714417600 is a wasteful number, since it uses less digits than its factorization.

96714417600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21532 (or 21514 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 96714417600 in words is "ninety-six billion, seven hundred fourteen million, four hundred seventeen thousand, six hundred".